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Finding the Fourth Proportional to 13,963.68, 20,942.28 and 5,202.72

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Solution

The fourth proportional to 13,963.68, 20,942.28 and 5,202.72 is: 7,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.68 : 20,942.28 = 5,202.72 : x
  2. Step 2: Convert to fraction form
    13,963.68/20,942.28 = 5,202.72/x
  3. Step 3: Cross multiply
    13,963.68x = 20,942.28 × 5,202.72
  4. Step 4: Simplify right side
    13,963.68x = 108,956,819.00
  5. Step 5: Solve for x
    x = 108,956,819.00/13,963.68
  6. Step 6: Final answer
    x = 7,802.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.